Group rings which are v-HC orders and Krull orders
نویسندگان
چکیده
منابع مشابه
Hyperbolicity of orders of quaternion algebras and group rings
For a given division algebra of the quaternions, we construct two types of units of its Z-orders: Pell units and Gauss units. Also, if K = Q √ −d, d ∈ Z \ {0, 1} is square free and R = IK , we classify R and G such that U1(RG) is hyperbolic. In particular, we prove that U1(RK8) is hyperbolic iff d > 0 and d ≡ 7 (mod 8). In this case, the hyperbolic boundary ∂(U1(RG)) ∼= S, the two dimensional s...
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the aim of this paper is to study orders over a valuation ring v with arbitrary rank in acentral simple f-algebra q. the relation between all of the orders is explained with a diagram. it is thenshown that inside bezout order, extremal v-orders are precisely semi-hereditary. in the last section, theeffect of henselization on maximal and semi-hereditary orders is examined.
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The covering graph of a lattice which is contained in an ordered set with a planar covering graph is itself planar. AMS subject classifications (1980). 06A10
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For finite groups, we investigate both converse Lagrange theorem (CLT) orders and supersolvable (SS) orders, and see that the latter form a proper subset of the former. We focus on the difference between these two sets of orders, reformulate the work of earlier authors algorithmically, and construct a computer program to enumerate such NSS-CLT orders. We establish several results relating to NS...
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Let K be a a global field and O be an order of K. We develop algorithms for the computation of the unit group of residue class rings for ideals in O. As an application we show how to compute the unit group and the Picard group of O provided that we are able to compute the unit group and class group of the maximal order e O of K.
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1991
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500007124